A two-phase GI/PH/1 → ·/PH/1/0 system with losses

Authors:
V. I. Klimenok;O. S. Taramin
Affiliations:
Belarussian State University, Minsk, Belarus;Belarussian State University, Minsk, Belarus
Venue:
Automation and Remote Control
Year:
2011

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Abstract

We find a stationary distribution and productivity characteristics for a two-phase queueing system with recurrent input flow. The servicing units are single-line on both phases. The servicing times have phase-type distributions. On the first phase, there is an infinite buffer. There is no intermediate buffer. In case the second phase device is busy at the time a claim has finished going through the first phase, this claim leaves the system unserved (is lost).